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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
6*x-(2*x)+1/x = 10 // - 10
6*x-(2*x)+1/x-10 = 0
6*x-2*x+1/x-10 = 0
4*x^1+1*x^-1-10*x^0 = 0
(4*x^2-10*x^1+1*x^0)/(x^1) = 0 // * x^2
x^1*(4*x^2-10*x^1+1*x^0) = 0
x^1
4*x^2-10*x+1 = 0
4*x^2-10*x+1 = 0
DELTA = (-10)^2-(1*4*4)
DELTA = 84
DELTA > 0
x = (84^(1/2)+10)/(2*4) or x = (10-84^(1/2))/(2*4)
x = (2*21^(1/2)+10)/8 or x = (10-2*21^(1/2))/8
x in { (10-2*21^(1/2))/8, (2*21^(1/2)+10)/8}
x in { (10-2*21^(1/2))/8, (2*21^(1/2)+10)/8 }
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